It has been suggusted that the highest priority of retirees is travel. Thus, a s

Question

It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 699 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below.

With this information, construct a table of estimated expected values.

Now, with that information, determine whether the length of stay is independent of retirement using =0.05.

(a) 2=

(b) Find the degrees of freedom:

(c) Find the critical value:

(d) The final conclusion is

A. There is not sufficient evidence to reject the null hypothesis that the length of stay is independent of retirement.
B. We can reject the null hypothesis that the length of stay is independent of retirement and accept the alternative hypothesis that the two are dependent.

Number of Nights Pre-retirement Post-retirement Total 47 238 165 403 813 78 70 148 1421 35 57 92 22 or more 21 35 56 Total 372 327 699

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Number of Nights
Columns: None

Chi-Square test:

Hence,

With this information, table of estimated expected values will be:

a) X2 = 19.601

b) Degrees of freedom = 3

c) Critical value = 7.815

d) Final conclusion: We can reject the null hypothesis that the length of stay is independent of retirement and accept the alternative hypothesis that the two are dependent.

Option B is correct.

Cell format Count
(Expected count)

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